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Finding the Fourth Proportional to 293,692.64, 405,305.28 and 166,365.44

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Solution

The fourth proportional to 293,692.64, 405,305.28 and 166,365.44 is: 229,589.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,692.64 : 405,305.28 = 166,365.44 : x
  2. Step 2: Convert to fraction form
    293,692.64/405,305.28 = 166,365.44/x
  3. Step 3: Cross multiply
    293,692.64x = 405,305.28 × 166,365.44
  4. Step 4: Simplify right side
    293,692.64x = 67,428,791,241.52
  5. Step 5: Solve for x
    x = 67,428,791,241.52/293,692.64
  6. Step 6: Final answer
    x = 229,589.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.